Search

This paper is concerned with the following quasilinear Schrödinger system in RN: {-ε2∆u + V1(x)u - ε2∆(u2)u = K1(x)∣u∣22*-2u + h1(x, u, v)u,-ε2∆v + V2(x)v - ε2∆(v2)v = K2(x)∣v∣22*-2v + h2(x, u, v)v, where N ≥ 3, Vi(x) is a nonnegative potential, Ki(x) is a bounded positive function, i = 1, 2. h1(x, u, v)u and h2(x, u, v)v are superlinear but subcritical functions. Under some proper conditions, minimax methods are employed to establish the existence of standing wave solutions for this system provided that ε is small enough, more precisely, for any m ∊ N, it has m pairs of solutions if ε is small enough. And these solutions (uε, vε) → (0,0) in some Sobolev space as ε → 0. Moreover, we establish the existence of positive solutions when ε = 1. The system studied here can model some interaction phenomena in plasma physics. [ABSTRACT FROM AUTHOR]

In this paper, we consider the Schrodinger equation -△u + V(x)u = f (x, u), x ∈ RN, where V and f are periodic in x1, . . ., xN, asymptotically linear and satisfies a monotonicity condition. We use the generalized Nehari manifold methods to obtain a ground state solution and infinitely many geometrically distinct solutions when f is odd in u. [ABSTRACT FROM AUTHOR]

Abstract: The Piwi genes have an important role in stem cell development, gametogenesis and RNA interference in diverse organisms. So far, most of the studies have focused on the function of Piwis in vertebrates, but their function during spermiogenesis in invertebrates still remains largely unclear. In order to investigate the function of Piwis during spermiogenesis in the crab Portunus trituberculatus, we use RT-PCR and RACE to identify three Piwi complete cDNA sequences from the total RNA of the testis in P. trituberculatus. The deduced amino acid sequences of P. trituberculatus Piwi-1, Piwi-2 and Piwi-3 showed that each contains a well-conserved PAZ domain and PIWI domain. RT-PCR analyzed the tissue expression pattern of P. trituberculatus Piwi-1, Piwi-2 and Piwi-3 in the testis, heart, muscle, hepatopancreas and gill. All of the Piwis are found in germ cells of adult testis in P. trituberculatus by in situ hybridization, suggesting that these genes may play function during spermiogenesis in this species. [Copyright &y& Elsevier]

In this article we consider the quasilinear Schrödinger equation where the potential is sign-changing. We employ a mountain pass argument without compactness conditions to obtain the existence of a nontrivial solution. [ABSTRACT FROM AUTHOR]

Highlights: [•] We identified P. trituberculatus MT-1 and MT-2 complete cDNA sequence. [•] We analyzed the protein alignment comparisons and phylogenetic trees of MT-1 and MT-2. [•] RT-PCR analysis the tissue expression of MT-1 and MT-2 mRNA. [•] The spatial and temporal distribution pattern of MT-1 and MT-2 mRNA during spermiogenesis. [•] Testis MT-1 and MT-2 mRNA expression are dramatically affected after the cadmium exposure. [Copyright &y& Elsevier]

Invasion and metastasis are major malignant characteristics of human gastric cancer (GC), but the underlying molecular mechanisms are poorly understood. Recent studies have shown that scinderin (SCIN), an actin severing and capping protein that regulates the actin cytoskeleton, is involved in the proliferation and migration of certain cancer cells. Accordingly, this study aimed to investigate the potential role of SCIN in the invasion and metastasis of human GC cells and to evaluate its prognostic value for GC patients. We found that high levels of SCIN expression in GC tumors were correlated with poor overall survival of patients. Silencing of SCIN effectively suppressed the migratory and invasive capabilities of human GC cells in vitro and tumorigenicity and metastasis in vivo. Furthermore, knockdown of SCIN markedly inhibited the formation of filopodia, decreasing GC cell migration and the expression of Cdc42, an important regulator of filopodia by GC cells. These findings suggest that SCIN may be a novel prognostic marker and a potential therapeutic target in human GC. [ABSTRACT FROM AUTHOR]